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A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Solution

✅ Correct Option: 4

Let the total marks be xx

Let pass percentage be p%p\%

Given:

  1. 25%25\% of x=px−30x = px - 30

  2. 50%50\% of x=px+20x = px + 20

Converting to equations:

0.25x=px−300.25x = px - 30

0.50x=px+200.50x = px + 20

Subtracting equations:

0.25x=500.25x = 50

x=200x = 200

Substituting in first equation:

50=200p−3050 = 200p - 30

80=200p80 = 200p

p=0.4p = 0.4 or 40%40\%

Therefore, the pass percentage is 40%40\%.

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